Which of the following statements captures the meaning of transitivity of preferences? a. If A is preferred to B, then B is less preferred than A. b. If A is preferred to B, and B is preferred to C, then A is preferred to C. c. If A is preferred to B and B is preferred to C, then the preference for A over B is stronger than the preference for B over C. d. If A is preferred to C, then there exists B such that A is preferred to B and C is preferred to A.
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Which of the following statements captures the meaning of transitivity of preferences?
a. If A is preferred to B, then B is less preferred than A.
b. If A is preferred to B, and B is preferred to C, then A is preferred to C.
c. If A is preferred to B and B is preferred to C, then the preference for A over B is stronger than the preference
for B over C.
d. If A is preferred to C, then there exists B such that A is preferred to B and C is preferred to A.
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- if x is exactly as preferred as is y and z is as preferred as x then, my preference for z is indifferent. a. true b. false?2. What does it mean that preferences are complete? Now would the real-life implica- tions of this assumption look like?7.A college football coach says that given any two linemen A and B, he always prefers the one who is bigger and faster. Is this preference relation transitive? Is it complete? 8.Explain why convex preferences means that “averages are preferred to extremes. 9.If good 1 is a “neutral,” what is its marginal rate of substitution for good 2?
- Indicate the answer choice that best completes the statement or answers the question. 1. Ahmed spends all of his money on movie tickets and groceries. Suppose Ahmed is presented with two options: A and B. Option A gives him a voucher of $X that he can only spend on groceries. Option B gives him SX that he can spend on either or both of the goods. Which of the following is correct assuming Ahmed is indifferent between the two options? a. Ahmed spends at least $X on groceries. b. Ahmed spends less than SX on groceries. c. Ahmed must be indifferent between movie tickets and groceries. d. Ahmed spends his entire income on movie tickets.Muoki says, “I’d rather see an action movie than a comedy, and I’d rather see a comedy than a foreign film. But given the choice, I think I’d rather see a foreign film than an action movie. Which of these statements about individual preferences is violated?A. Muoki’s preference ordering is completeB. Muoki’s indifference curves are convex to the originC. Muoki’s indifference curves are negatively slopedD. Muoki’s preferences are transitiveIf Utility=.5lnX+3Z+10+4VW then Marginal utility from X is...... and the Mu of Z is...... Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a b с 10; 3 3,4 5/X; 3 d 2/VW; 3
- 5. Sheila and Bruce are taking a canoe trip. Sheila brought 10 boxes of peanuts (x) and 15 bags of chips (y). Sheila's utility function is U*(x,y) = lnvx*+ Invy°. Bruce also brought 20 boxes of peanuts and 5 bags of chips. Bruce's utility function is UB(x.y) = min[x', y'I. a) Illustrate the endowment point and draw a sample set of indifference curves through the endowment point. b) If Sheila and Bruce trade what will be the pattern of mutually beneficial trade? c) If the terms of trade are the number of bags of chips (y) per box of peanuts (x) then what is the largest value that these terms can be for a mutually beneficial trade in this economy? d) Find one mutually beneficial trade where the terms of trade are 1 bag of chips (y) per 2 boxes of peanuts (x). Suppose that Sheila and Bruce set up two competitive markets for peanuts and chips. Below you will show that if the price of peanuts (x) is $1 and the price of chips (y) is $2 then the markets for both peanuts and chips will clear.…What can observing people’s actual choices tell us about their preferences? Whatis this approach called?Each day Paul, who is in third grade, eats lunch at school. He likes only Twinkies (t) and soda (s), andthese provide him a utility ofutility = U (t s) =square root (ts).a. If Twinkies cost $0.10 each and soda costs $0.25 per cup, how should Paul spend the $1 hismother gives him in order to maximize his utility?b. If the school tries to discourage Twinkie consumption by raising the price to $0.40, by howmuch will Paul’s mother have to increase his lunch allowance to provide him with the same levelof utility he received in part (a)?
- If the initial distribution of two goods between two people is Pareto optimal, which of the following statements is TRUE? A. It is possible to reallocate the goods between the two people so as to increase the utility of both people. B. It is possible to reallocate the goods between the two people so as to increase the utility of one person without decreasing the utility of the other. C. It is possible to reallocate the goods between the two people so as to increase the utility of one person, but only at the expense of the other person. D. It is impossible to reallocate the goods between the two people so as to increase either person's utility. E. None of the above1. Is it impossible for two indifference curves to intersect one another? why? 2. What does it mean that preferences are complete? Now would the real-life implica- tions of this assumption look like?Matt has $14 to spend on fruit today at the grocery store. The only fruits he likes are apples and oranges. Both cost $2 per pound. Matt's preferences between these fruits are presented in the table below. How many apples and oranges will he buy if he were a utility maximizer? a b с Pounds of Apples 1 2 3 4 5 Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. d Pounds of Oranges 1 2 3 4 5 Apples = 1 pound, Oranges = 2 pounds Apples = 2 pound, Oranges = 5 pounds Apples = 1 pound, Oranges = 1 pound Marginal Utility from Apples Apples = 3 pounds, Oranges = 3 pounds. 200 300 380 440 480 Marginal Utility from Oranges 100 200 250 280 300